It would be similar to almighty push I assume, that or it would just slide off of yata.
It is sorta made of chakra or something like that so amaterasu would be useless anyways.
Amaterasu can't burn Chakra(which is why amaterasu didn't matter in the last clash with rasengan and chidori).
Yes it can that was why Naruto use the Kyuubi shroud to shrug it off after he got hit by it.
If we go by the actual happenings in the manga, amaterasu has been found to be ineffective in many cases(gaara's sand, almighty push), whereas even though yata mirror is never shown to face a very high level jutsu, but it IS said to defend from all attacks physical or chakra related, so there is no logical reason for amaterasu to defeat yata mirror
i think kishi made a mistake overhyping these techniques because amaterasu was said to be imposible to put out until it completely incinarates the target yet i has been put out and yata is said to be able to deflect any attack.
I wonder what would happen if raikiri which according to the databook can pierce everything and yata met?
Shinra tensei deflected amaterasu, why not yata mirror?
The yata mirror was said to deflect any and all attacks, be it amaterasu or bijuu dama it makes no difference